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Title: Well-posedness of minimal time problems with constant dynamics in Banach spaces
Authors: Colombo, Giovanni
Goncharov, Vladimir
Mordukhovich, Boris
Keywords: Minimal time function
Minimal time projection
Variational Analysis
Generalized differentiation
Issue Date: Dec-2010
Publisher: Springer
Abstract: This paper concerns the study of a general minimal time problem with a convex constant dynamics and a closed target set in Banach spaces. We pay the main attention to deriving sufficient conditions for the major well-posedness properties that include the existence and uniqueness of optimal solutions as well as certain regularity of the optimal value function with respect to state variables. Most of the results obtained are new even in finite-dimensional spaces. Our approach is based on advanced tools of variational analysis and generalized differentiation.
ISSN: 1877-0533
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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